Interplay of interchain interactions and exchange anisotropy: Stability and fragility of multipolar states in spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>quasi-one-dimensional frustrated helimagnets

Nishimoto, Sei‐ichi; Drechsler, S.‐L.; Kuzian, R. O.; Richter, Johannes; Brink, Jeroen van den

doi:10.1103/physrevb.92.214415

Cited by 35 publications

(37 citation statements)

References 55 publications

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“…Although, there are a few materials corresponding to perpendicular ICs, e.g., LiVCuO 4 and Li(Na)Cu 2 O 2 30,31,34,47 , in real magnetic J 1 -J 2 compounds typically the ICs are more sophisticated than those we consider in our paper, see, e.g., Ref. 54.…”

Section: Discussionmentioning

confidence: 60%

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Thermodynamics of frustrated ferromagnetic spin-12Heisenberg chains: Role of interchain coupling

2017

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The thermodynamics of coupled frustrated ferromagnetic chains is studied within a spin-rotationinvariant Green's function approach. We consider an isotropic Heisenberg spin-half system with a ferromagnetic in-chain coupling J1 < 0 between nearest neighbors and a frustrating antiferromagnetic next-nearest neighbor in-chain coupling J2 > 0. We focus on moderate strength of frustration J2 < |J1|/4 such that the in-chain spin-spin correlations are predominantly ferromagnetic. We consider two inter-chain couplings (ICs) J ⊥,y and J ⊥,z , corresponding to the two axis perpendicular to the chain, where ferromagnetic as well as antiferromagnetic ICs are taken into account. We discuss the influence of frustration on the ground-state properties for antiferromagnetic ICs, where the ground state is of quantum nature. The major part of our study is devoted to the finitetemperature properties. We calculate the critical temperature Tc as a function of the competing exchange couplings J2, J ⊥,y , J ⊥,z . We find that for fixed ICs Tc monotonically decreases with increasing frustration J2, where as J2 → |J1|/4 the Tc(J2)-curve drops down rapidly. To characterize the magnetic ordering below and above Tc we calculate the spin-spin correlation functions S0SR , the magnetic order parameter M , the uniform static susceptibility χ0 as well as the correlation length ξ. Moreover, we discuss the specific heat CV and the temperature dependence of the excitation spectrum ωq. As J2 → |J1|/4 some unusual frustration-induced features were found, such as an increase of the in-chain spin stiffness (in case of ferromagnetic ICs) or of the in-chain spin-wave velocity (in case of antiferromagnetic ICs) with growing temperature.

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Section: Discussionmentioning

confidence: 60%

“…Moreover, there is a large variety in the topology of the IC, see, e.g., Ref. 54. However, the simplest case of a perpendicular IC J ⊥ corresponds, e.g., to LiVCuO 4 and Li(Na)Cu 2 O 2 .…”

Section: 1969-71mentioning

confidence: 99%

Thermodynamics of frustrated ferromagnetic spin-12Heisenberg chains: Role of interchain coupling

2017

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“…Further, the diagonal interchain coupling plays an important role, although the details are not yet fully understood: some coupling is required to establish long-range order, but above a small critical interchain coupling it can also destroy any isotropic multipolar phase 9,16 . However, with specific exchange anisotropies a stabilization of the spin-nematic phase can be achieved 17,18 .…”

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confidence: 99%

Dynamics of linarite: Observations of magnetic excitations

et al. 2017

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Here we present inelastic neutron scattering measurements from the frustrated, quantum spin-1/2 chain material linarite, PbCuSO4(OH)2. Time of flight data, taken at 0.5 K and zero applied magnetic field reveals low-energy dispersive spin wave excitations below 1.5 meV both parallel and perpendicular to the Cu-chain direction. From this we confirm that the interchain couplings within linarite are around 10 % of the nearest neighbour intrachain interactions. We analyse the data within both linear spin-wave theory and density matrix renormalisation group theories and establish the main magnetic exchange interactions and the simplest realistic Hamiltonian for this material.

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“…In the classical spin approximation, it is well known that the ground state of the J 1 -J 2 spin chain possesses a helimagnetic state with an incommensurate pitch angle Q J J arccos 4 1 2 = -( )in the range of 0>J 1 /J 2 >−4. For the SU(2)-invariant quantum case, such a long-range helical ordering is destroyed by strong quantum/thermal spin fluctuations, whereas the system possesses types of hidden multiple-spin ordering, such as magnetic multipolar phase or spin-nematic state in which magnon bound states are formed from the subtle competition between geometrical balance of ferromagnetic and antiferromagnetic correlations among spins [3][4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Vector-spin-chirality bound state driven by the inverse Dzyaloshinskii–Moriya mechanism

Guo

Jia

2018

New J. Phys.

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We illustrate analytically the formation of vector-spin-chirality bound state due to spin-phonon interaction conditioned by the inverse Dzyaloshinskii-Moriya mechanism. The non-equilibrium dynamics of spin-chirality is effectively mapped into the spin-boson model. For spin-1/2 systems, our study suggests an existence of a gapless first-order phase transition from incoherent to coherent spin fluctuations, which is quantified to an emergence of spin-chirality bound state. The critical strength of spin-phonon interaction is found to be determined by the ratio between the amplitude of spin fluctuations and the Debye frequency of system.

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Interplay of interchain interactions and exchange anisotropy: Stability and fragility of multipolar states in spin-12quasi-one-dimensional frustrated helimagnets

Cited by 35 publications

References 55 publications

Thermodynamics of frustrated ferromagnetic spin-12Heisenberg chains: Role of interchain coupling

Thermodynamics of frustrated ferromagnetic spin-12Heisenberg chains: Role of interchain coupling

Dynamics of linarite: Observations of magnetic excitations

Vector-spin-chirality bound state driven by the inverse Dzyaloshinskii–Moriya mechanism

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